Estudo da reta em geometria analítica: uma proposta de atividades para o ensino médio a partir de conversões de registros de representação semiótica com o uso do software GeoGebra

Abstract

This article makes part of the research project for Professional Master´s degree in Mathematical Education from PUC-SP. It has the aim to investigate if the using of a dynamic geometry software, GeoGebra, could contribute for a better comprehension of the mathematical object, the line. They were applied some aspects studied in the Analytical Geometry during the 3rd year of high school (in Brazil). For verifying these aspects, they were used the ideas of Raymond Duval in the Semiotic Registers of Representation theory. A sequence of activities that focuses on the line was built based on the theory. Its different representation forms and the coordination among the algebraic, graphic and natural language registers were considered in addition. For the development of the activities, the students used the software GeoGebra as a support. The students studied in a public school located at the south part of São Paulo city were the target. The methodology used was the Didactics Engineering of Michélle Artigue. The results show off that the use of this software may contribute to the mathematical object apprehension, the line, to facilitate and speed up its study